Exploring the Way of Statistics
★Exhibit Content: Probability Problems ★Interaction: Mechanical Interaction ★Operation: 1. Addition Interaction: Push all beads behind the metal bar, flip the dice device; add the points of the two dice, and slide one bead forward in the column corresponding to the total; repeat continuously and observe the beads gathering toward the center. 2. Subtraction Interaction: Push all beads behind the metal bar, flip the dice device; observe the points, subtract the smaller from the larger, and slide the bead to the corresponding difference column; after multiple repetitions, observe the beads piling up on column 1. ★Exhibit Description: The exhibit consists of a dice-shaking device and a bead-moving device, and is also a recommended exhibit from the PopsciCat Exhibit Store. By simulating the verification process of gamblers' gambling, understand that when participating in dice gambling, the dealer can bet in a predictable pattern. ★Scientific Principle Gambler's Ruin Law: An interesting theorem provided by probability theory: in a "fair" gamble, any gambler with finite capital, as long as they gamble long enough, will inevitably go bankrupt one day. In a single gamble, any gambler may win. Who wins or loses is accidental. But as long as one keeps gambling, bankruptcy or the dealer going bankrupt and running away is inevitable. Dice Probability Problem: There are six ways for two dice to add up to 7, but only one way for two dice to add up to 2 or 12. When subtracting two dice, there are ten ways to get 1, but only two ways to get 5. Interaction 1 (Addition): Visitors push all beads behind the metal bar, flip the dice device, add the points of the two dice, and slide one bead forward in the column corresponding to the total; repeat continuously, and after many rolls, the beads gather toward the center. Interaction 2 (Subtraction): Visitors push all beads behind the metal bar, flip the dice device, observe the points, subtract the smaller number from the larger, and slide the bead forward to the column of the corresponding difference; after continuous repetition, the beads pile up on column 1.
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- 1.1×0.9×1.0 1.1×0.9×1.0Dimensions (unit: m): 1.1×0.9×1.0 Brand: PopsciCat Model: PopsciCat-math-088 1. Materials ① Base: square tube frame 25×25, sheet metal with baked paint (thickness ≥2mm) ② Tabletop: Kelesi artificial stone, thickness ≧12mm, with flame-retardant board underneath ③ Dice props: custom double-dice shaking device, stable structure ④ Statistical props: custom bead-moving array, metal bars, counting columns, etc. ⑤ Accessories: custom fixing parts, slide rails, operating handles, etc. 2. Main Configuration ① Interactive mechanisms: manual dice-flipping device, bead reset mechanism, point-bead column linkage mechanism ② Safety components: anti-pinch design, limit device, rounded corners 3. Exhibition Requirements ① Energy demand: None ② Installation foundation: direct placement, requires flat ground ③ Entry passage: door frame size (width×height) ≥1.5m×1.5m, continuous turning interval ≥2m ④ Maintenance access: Not required
★Exhibit Content: Probability Problems ★Interaction: Mechanical Interaction ★Operation: 1. Addition Interaction: Push all beads behind the metal bar, flip the dice device; add the points of the two dice, and slide one bead forward in the column corresponding to the total; repeat continuously and observe the beads gathering toward the center. 2. Subtraction Interaction: Push all beads behind the metal bar, flip the dice device; observe the points, subtract the smaller from the larger, and slide the bead to the corresponding difference column; after multiple repetitions, observe the beads piling up on column 1. ★Exhibit Description: The exhibit consists of a dice-shaking device and a bead-moving device, and is also a recommended exhibit from the PopsciCat Exhibit Store. By simulating the verification process of gamblers' gambling, understand that when participating in dice gambling, the dealer can bet in a predictable pattern. ★Scientific Principle Gambler's Ruin Law: An interesting theorem provided by probability theory: in a "fair" gamble, any gambler with finite capital, as long as they gamble long enough, will inevitably go bankrupt one day. In a single gamble, any gambler may win. Who wins or loses is accidental. But as long as one keeps gambling, bankruptcy or the dealer going bankrupt and running away is inevitable. Dice Probability Problem: There are six ways for two dice to add up to 7, but only one way for two dice to add up to 2 or 12. When subtracting two dice, there are ten ways to get 1, but only two ways to get 5. Interaction 1 (Addition): Visitors push all beads behind the metal bar, flip the dice device, add the points of the two dice, and slide one bead forward in the column corresponding to the total; repeat continuously, and after many rolls, the beads gather toward the center. Interaction 2 (Subtraction): Visitors push all beads behind the metal bar, flip the dice device, observe the points, subtract the smaller number from the larger, and slide the bead forward to the column of the corresponding difference; after continuous repetition, the beads pile up on column 1.
Review
Principle Display: ★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★★★ Overall Rating: ★★★